Another form of supra ordered separation axioms

In this work, we present and study new ordered separation axioms, namely supra Tc;-ordered spaces (briefly, STc:-ordered spaces), where i = 0,1,1,12,2. With the help of examples, we illustrate the relationships among these ordered spaces and point out under what conditions they are hereditary properties. Also, we derive some results which associate some of STC:-ordered spaces with some topological notions such as supra limit points and supra disconnected spaces, and with some algebraic notions such as largest and smallest elements. Furthermore, we investigate the image of theses ordered spaces under S*homeomorphism maps. Finally, we verify that the finite ordered product of STcz-ordered spaces is STC:-ordered for i = 0,1,1,15